A new parameterized monogamy relation between entanglement and equality
- URL: http://arxiv.org/abs/2203.16629v1
- Date: Wed, 30 Mar 2022 19:27:59 GMT
- Title: A new parameterized monogamy relation between entanglement and equality
- Authors: Zhi-Xiang Jin, Shao-Ming Fei, Xianqing Li-Jost and Cong-Feng Qiao
- Abstract summary: A monogamy equality rather than the usual inequality is presented based on the monogamy weight.
We show that monogamy relations can be recovered by considering multiple copies of states for every non-additive entanglement measure.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We provide a generalized definition of the monogamy relation for entanglement
measures. A monogamy equality rather than the usual inequality is presented
based on the monogamy weight, from which we give monogamy relations satisfied
by the $\alpha$th $(\alpha>0)$ power of the entanglement measures. Taking
concurrence as an example, we further demonstrate the significance and
advantages of these relations. In addition, we show that monogamy relations can
be recovered by considering multiple copies of states for every non-additive
entanglement measure that violates the inequalities. We also demonstrate that
the such relations for tripartite states can be generalized to multipartite
systems.
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